The picture above is one of the patch carving produced at the Jepara carving center, Sukosono village. If we assume the shape of the carving as a sector of circle and drawn on Cartesian coordinates, we get a sector of circle with points [code]O(0,0)[/code], [code]P(5,-3)[/code][code][/code], and [code]Q(3,5)[/code].[br]If the sector of circle [code]OPQ[/code] is rotated:[br]a. [math]90°[/math] to the origin point [code]O(0,0)[/code] counterclockwise?[br]b. [math]90°[/math] to the origin point [code]P(5,-3)[/code] counterclockwise?[br]c. [math]90°[/math] to the origin point [code]Q(3,5)[/code] counterclockwise?[br]Draw and determine ([i]manually[/i]) the shadow coordinates of each rotation! ([i]on the Companion Answer Sheet[/i])[br]What can you conclude from these rotations?